Surface Area of Composite 3D Figures Practice Complete this assessment to review what you've learned. It will not count toward your grade. 2 of 52 of 5 Items Question Use the image to answer the question. What is the total surface area of the figure? (1 point) m2
To find the total surface area of the figure, we need to find the surface area of each individual shape and then add them together.
The figure is made up of a rectangular prism and a triangular prism.
Surface area of rectangular prism:
2lw + 2lh + 2wh
= 2(5)(3) + 2(5)(4) + 2(3)(4)
= 30 + 40 + 24
= 94 m^2
Surface area of triangular prism:
Base area + lateral area
= (1/2)(3)(4) + 3(3+4+5)
= 6 + 36
= 42 m^2
Total surface area = 94 m^2 + 42 m^2
= 136 m^2
Therefore, the total surface area of the figure is 136 m^2.